Diffusive and inviscid traveling waves of the Fisher equation and nonuniqueness of wave speed

In this paper we present an intuitive explanation for the non-uniqueness of the traveling wave speed in the Fisher equation, showing a similar non-uniqueness property in the case of inviscid traveling waves. More precisely, we prove that traveling waves of the Fisher equation with wave speed c > 0 converge to the inviscid traveling wave with speed. c > 0 as the diffusion vanishes. A complete diagram that shows the relation between the diffusive and inviscid traveling waves is given in this paper. (c) 2016 Elsevier Ltd. All rights reserved
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
2016-10
Language
ENG
Keywords

CONVECTION EQUATIONS; PROPAGATION; LIMIT

Citation

APPLIED MATHEMATICS LETTERS, v.60, pp.28 - 35

ISSN
0893-9659
DOI
10.1016/j.aml.2016.03.022
URI
http://hdl.handle.net/10203/212089
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
  • Hit : 181
  • Download : 0
  • Cited 0 times in thomson ci
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡClick to seewebofscience_button
⊙ Cited 2 items in WoSClick to see citing articles inrecords_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0